Converting 77.2 to a Fraction
Step-by-step explanation of how to convert 77.2 to a fraction

Result

77.2 =
386
5
Mixed number:
77
1
5

Step 1: Identify the number of decimal places

The decimal 77.2 has 1 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 101 = 10 to eliminate the decimal point.

77.2 × 10 = 772

Step 3: Write as a fraction

77.2 =

772
10

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 772 and 10.

GCD(772, 10) = 2

Divide both the numerator and denominator by the GCD:

772
10

=

772 ÷ 2
10 ÷ 2

=

386
5
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